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Finding the Fourth Proportional to 32,042.46, 48,065.01 and 10,996.96

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Solution

The fourth proportional to 32,042.46, 48,065.01 and 10,996.96 is: 16,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,042.46 : 48,065.01 = 10,996.96 : x
  2. Step 2: Convert to fraction form
    32,042.46/48,065.01 = 10,996.96/x
  3. Step 3: Cross multiply
    32,042.46x = 48,065.01 × 10,996.96
  4. Step 4: Simplify right side
    32,042.46x = 528,568,992.37
  5. Step 5: Solve for x
    x = 528,568,992.37/32,042.46
  6. Step 6: Final answer
    x = 16,495.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.